Search a number
-
+
252525001377740 = 2257131271092519691
BaseRepresentation
bin111001011010101110001111…
…000000010000011111001100
31020010010011011112100110122012
4321122232033000100133030
5231044332200323041430
62253024214545240352
7104122220641443440
oct7132561700203714
91203104145313565
10252525001377740
117350a284a67873
12243a50540330b8
13aaba00bc90610
1446503bd526820
151e2db4c6a5695
hexe5ab8f0107cc

252525001377740 has 96 divisors (see below), whose sum is σ = 657819216789504. Its totient is φ = 79290709021440.

The previous prime is 252525001377731. The next prime is 252525001377773. The reversal of 252525001377740 is 47773100525252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546028706 + ... + 546490985.

It is an arithmetic number, because the mean of its divisors is an integer number (6852283508224).

Almost surely, 2252525001377740 is an apocalyptic number.

252525001377740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252525001377740 is an abundant number, since it is smaller than the sum of its proper divisors (405294215411764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252525001377740 is a wasteful number, since it uses less digits than its factorization.

252525001377740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092519847 (or 1092519845 counting only the distinct ones).

The product of its (nonzero) digits is 4116000, while the sum is 50.

The spelling of 252525001377740 in words is "two hundred fifty-two trillion, five hundred twenty-five billion, one million, three hundred seventy-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 127 130 140 182 254 260 364 455 508 635 889 910 1270 1651 1778 1820 2540 3302 3556 4445 6604 8255 8890 11557 16510 17780 23114 33020 46228 57785 115570 231140 1092519691 2185039382 4370078764 5462598455 7647637837 10925196910 14202755983 15295275674 21850393820 28405511966 30590551348 38238189185 56811023932 71013779915 76476378370 99419291881 138750000757 142027559830 152952756740 198838583762 277500001514 284055119660 397677167524 497096459405 555000003028 693750003785 971250005299 994192918810 1387500007570 1803750009841 1942500010598 1988385837620 2775000015140 3607500019682 3885000021196 4856250026495 7215000039364 9018750049205 9712500052990 12626250068887 18037500098410 19425000105980 25252500137774 36075000196820 50505000275548 63131250344435 126262500688870 252525001377740